{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#|default_exp models.positional_encoders"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Positional encoders"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">This includes some variations of positional encoders used with Transformers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#|export\n",
    "from tsai.imports import *\n",
    "from tsai.utils import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Positional encoders"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#|export\n",
    "def PositionalEncoding(q_len, d_model, normalize=True):\n",
    "    pe = torch.zeros(q_len, d_model)\n",
    "    position = torch.arange(0, q_len).unsqueeze(1)\n",
    "    div_term = torch.exp(torch.arange(0, d_model, 2) * -(math.log(10000.0) / d_model))\n",
    "    pe[:, 0::2] = torch.sin(position * div_term)\n",
    "    pe[:, 1::2] = torch.cos(position * div_term)\n",
    "    if normalize:\n",
    "        pe = pe - pe.mean()\n",
    "        pe = pe / (pe.std() * 10) \n",
    "    return pe\n",
    "\n",
    "SinCosPosEncoding = PositionalEncoding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(5.438924e-10, 0.09999991, -0.18388666, 0.11518021, (1000, 512))"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pe = PositionalEncoding(1000, 512).detach().cpu().numpy()\n",
    "plt.pcolormesh(pe, cmap='viridis')\n",
    "plt.title('PositionalEncoding')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "pe.mean(), pe.std(), pe.min(), pe.max(), pe.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#|export\n",
    "def Coord2dPosEncoding(q_len, d_model, exponential=False, normalize=True, eps=1e-3, verbose=False):\n",
    "    x = .5 if exponential else 1\n",
    "    i = 0\n",
    "    for i in range(100):\n",
    "        cpe = 2 * (torch.linspace(0, 1, q_len).reshape(-1, 1) ** x) * (torch.linspace(0, 1, d_model).reshape(1, -1) ** x) - 1\n",
    "        pv(f'{i:4.0f}  {x:5.3f}  {cpe.mean():+6.3f}', verbose)\n",
    "        if abs(cpe.mean()) <= eps: break\n",
    "        elif cpe.mean() > eps: x += .001\n",
    "        else: x -= .001\n",
    "        i += 1\n",
    "    if normalize:\n",
    "        cpe = cpe - cpe.mean()\n",
    "        cpe = cpe / (cpe.std() * 10) \n",
    "    return cpe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(3.695488e-09, 0.09999991, -0.22459325, 0.22487777)"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cpe = Coord2dPosEncoding(1000, 512, exponential=True, normalize=True).cpu().numpy()\n",
    "plt.pcolormesh(cpe, cmap='viridis')\n",
    "plt.title('Coord2dPosEncoding')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "plt.plot(cpe.mean(0))\n",
    "plt.show()\n",
    "plt.plot(cpe.mean(1))\n",
    "plt.show()\n",
    "cpe.mean(), cpe.std(), cpe.min(), cpe.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#|export\n",
    "def Coord1dPosEncoding(q_len, exponential=False, normalize=True):\n",
    "    cpe = (2 * (torch.linspace(0, 1, q_len).reshape(-1, 1)**(.5 if exponential else 1)) - 1)\n",
    "    if normalize:\n",
    "        cpe = cpe - cpe.mean()\n",
    "        cpe = cpe / (cpe.std() * 10) \n",
    "    return cpe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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68vjsUYzvH+V0aSJBQ4EvzS6j8AQPr/yCNXuPEB8Zxl/njmbmiBh1sRRpYQp8aTbHK2p47IN9PLfxIGGhITw0cwjfnphAaFs9IFzECQp88TtPXT0vbM7mT+/vpbSyljnj4vnx1IFEdWrvdGkiQU2BL3712b4j/GblbvYeLuPCAVH851VD9QASkQChwBe/yCwq57/f3s0HXxQSHxnGU7dfwBVDo9VOLxJAFPjik/JqD098lMHitQcIDWnDL6YN5ruTEnSHrEgAUuDLeTk5kuXDK3eTX1LFjRfE8fNpg3TjlEgAU+DLOTtwpIxfrkjns31FDInpwhNzRpOSoLHpRQKdAl/OWmVNHU9+nMGiNQdo37YNv7p6KLdN6EvbEHWzFGkNFPhyRtZa3tt9mIff2k3e8UquHx3L/TMGq/lGpJVR4Ms3yimu4Jcr0vloTyGDojvz8sIJGg5BpJVS4EuTPHX1/HN9Fn98by/GwEMzhzDvwgTaqflGpNVS4MvX7Mor4YHlaaTllTBlcE8evnY4sV07Ol2WiPhIgS9fqajx8NgH+1i8NpNuYaE8OXcMM0boObIibqHAFwA+3XuEh95II6e4kjnj4rl/2mAiwto5XZaI+JECP8gVl9fw8FvpvLH9EAN6hPPKXRMZ10996kXcSIEfxN7dlc9Db+yipLKW+6Ykcc+lAzQkgoiLKfCDUHF5Db9ckc5bOw4xPLYLSxeMZ3AvjWgp4nYK/CDT+Kz+J1MHcvclA9TVUiRIKPCDROOz+mG9u/Dc/PEap14kyCjwg8Dq9AIefD2Nkspafjx1IP+hs3qRoKTAd7Gyag8Pv5XOK1tzGRqjs3qRYKfAd6lt2cf40cvbyS6u4J5LBvDDywfq4eEiQU6B7zKeunqe+CiDv36cQa8uHXh5ofrVi0gDBb6LZBWV88OXt7M95zjXj47lV7OG0aWD7pYVkQYKfBew1vLq1lx+9VY6bdsYnpgzmqtH9na6LBEJMAr8Vq6s2sODr6fx5vZDTOwfxR9vHklvjWwpIk3wKfCNMZHAy0ACkAXcbK091sR67wITgLXW2qt82ab8r/RDJdz7wuccPFrOT6YO5J5LEwlpo5EtRaRpvnbbuB/40FqbBHzonW7K74HbfdyWeFlreW5DFtf9bT0VNR5euHMC35+SpLAXkW/ka5POLOAS7+slwCfAL05dyVr7oTHmklPny7krrarl/td2siqtgG8N7MGfbh5JVKf2TpclIq2Ar4Efba3N974uAKJ9eTNjzEJgIUB8fLyPpbnPrrwS7nl+G3nHK7l/+mAWTu5PG53Vi8hZOmPgG2M+AHo1sejBxhPWWmuMsb4UY61dBCwCSElJ8em93GZZai4Pvp5GZHgor9w1gQv6qm+9iJybMwa+tfby0y0zxhw2xsRYa/ONMTFAoV+rE2o89fxm5W6e23iQif2jeGLuaLqrCUdEzoOvTTorgHnAI97vb/pckXzlcGkV/7E0lW3Zx1l4cX9+fuUg2mrQMxE5T74G/iPAK8aY+cBB4GYAY0wKcLe1doF3+jNgMNDJGJMLzLfWrvZx2662ObOYe57fRkWNh7/OHc1VybqRSkR841PgW2uPAlOamL8VWNBoerIv2wk2Szce5Fcr0ukTGcYLd45nYHRnp0sSERfQnbYBxFPX0F6/ZMNBLh3Ug8fnjNZYOCLiNwr8AFFSWcu9L2zjs31F3Dm5H/dPH6IbqUTErxT4ASCrqJzvLtlCTnEFv7shmZvH9nG6JBFxIQW+wzbsP8rdS1NpY+C5+eOZ0D/K6ZJExKUU+A56c3seP311B32jwlk8L4W+UeFOlyQiLqbAd4C1lkVrDvD/3tnD+H6RLPp2ChEddXFWRJqXAr+F1dVbfrNyN/9cn8XM5Bj+dPNI2rcNcbosEQkCCvwWVFVbx49f2c6qtAIWTOrH/5kxRIOfiUiLUeC3kNKqWhYs2crmzGIemjmEBZP7O12SiAQZBX4LKC6vYd4zm9lTUMpf5ozmGj1vVkQcoMBvZoWlVdz69CayiytYdHsKlw7u6XRJIhKkFPjNKKe4gtsWb6LoRDX/vGMcEweoj72IOEeB30z2Hynjtqc3UV7tYemC8YyO7+Z0SSIS5BT4zSCjsIzZizZireWlhRMZ2ruL0yWJiCjw/e3AkTLm/mMjAC/fNYHEnhraWEQCgx6f5EcHj5Yz9x+bqKu3vHDneIW9iAQUBb6f5BRXMGfRRqo9dSxdoIeWiEjgUZOOH+SXVDJ70UbKa+p44c7xDIlRm72IBB6d4fvoWHkNty/eTEllLUvnj2dY7winSxIRaZLO8H1QUePhjn9uIbu4giV3jGNEnMJeRAKXzvDPU42nnruXbmNn7nGemDNaN1WJSMDTGf55qK+3/GzZDtbsPcKjN4zgymG9nC5JROSMdIZ/Hv74/pe8uf0QP7tyELeMjXe6HBGRs6LAP0fLUnN58uP9zBnXh3suGeB0OSIiZ02Bfw42HjjKA8t3clFiFA/PGo4xeniJiLQeCvyzlFlUzt1LU+kTGcbf5l5AuxB9dCLSuii1zkJZtYcFS7ZggGe/M5aIMD1wXERaH/XSOQNrLT9ftoPMonKWLhhP36hwp0sSETkvOsM/g6c/y2RVWgG/mDaYCwd0d7ocEZHzpsD/Bhv2H+WRd/cwfXgvFl6sh46LSOumwD+NwtIqvv/iNhKiwvj9TSPVI0dEWj214Tehvt7yk1d3UFbt4YU7J9CpvT4mEWn9dIbfhGfWZfLZviIemjlU49qLiGso8E+RfqiE3737JVOHRnPreA2bICLuocBvpKq2jvte2k7XsHY8ekOy2u1FxFXUON3Inz/YS0ZhGf/67jgiw0OdLkdExK90hu+1M/c4/1hzgNlj+3DxwB5OlyMi4nc+Bb4xJtIY874xZp/3e7cm1hlljNlgjEk3xuw0xtziyzabQ21dPT9ftpMendvzwIwhTpcjItIsfD3Dvx/40FqbBHzonT5VBfBta+0wYBrwmDGmq4/b9av/+WQ/ewpO8NtrRxDRUePkiIg7+Rr4s4Al3tdLgGtPXcFau9dau8/7+hBQCARMm0n20Qqe+DiDmckxTB0a7XQ5IiLNxtfAj7bW5ntfFwDfmJjGmHFAKLDfx+36zX+v2k3bNob/nDnU6VJERJrVGXvpGGM+AJp6aOuDjSestdYYY7/hfWKA54B51tr606yzEFgIEB/f/H3g1+4rYnX6YX525SB6RXRo9u2JiDjpjIFvrb38dMuMMYeNMTHW2nxvoBeeZr0uwNvAg9bajd+wrUXAIoCUlJTT/vLwh9q6en79VjrxkWHMn9SvOTclIhIQfG3SWQHM876eB7x56grGmFDgdeBf1tplPm7Pb17aksO+wjIemjmEDu1CnC5HRKTZ+Rr4jwBTjTH7gMu90xhjUowxT3vXuRm4GPiOMWa792uUj9v1SVVtHX/9aB9jE7rpQq2IBA2f7rS11h4FpjQxfyuwwPt6KbDUl+3423MbDnK4tJq/zB6t4RNEJGgE3Z22ZdUe/v7pfiYndWd8/yinyxERaTFBF/hL1mdRXF7DT64Y5HQpIiItKqgCv6q2jmfXZXHxwB6M6tPV6XJERFpUUAX+m9vzKCqrZuFkPZ9WRIJP0AR+fb1l0ZoDDI3pwkWJarsXkeATNIH/6d4j7D9SzsKL+6tnjogEpaAJ/Bc2Z9O9UygzRsQ4XYqIiCOCIvALS6v4aE8hN1wQR2jboNhlEZGvCYr0ezU1l7p6y+yxeii5iAQv1we+tZZlqblM6B9Jv+7hTpcjIuIY1wd++qFSMovKuXZUrNOliIg4yvWB/3ZaPiFtDFcOa2pIfxGR4OHqwLfW8vbOfC5K7E638FCnyxERcZSrAz+jsIzs4gqm6exeRMTdgb9mXxEAk5O6O1yJiIjzXB34n+07Qv/u4fSJDHO6FBERx7k28Ks9dWw8cJSLB/ZwuhQRkYDg2sD/PPs4VbX1TEpUc46ICLg48HfkHAdgTN9uzhYiIhIgXBv4O/NKiOvWkUh1xxQRAVwc+Gm5JSTHRThdhohIwHBl4B+vqCG7uIIRsV2dLkVEJGC4MvAzCssAGBzT2eFKREQChysDP7u4AoC+6n8vIvIV1wa+MRDXTYEvInKSawO/d0RHPd1KRKQRVyZibnElsd06Ol2GiEhAcWXgl1bV0i2sndNliIgEFFcGflm1h/DQtk6XISISUFwZ+BU1dYS3V+CLiDTmysAvq/YQ1j7E6TJERAKK6wK/tq6eGk89ndSkIyLyb1wX+BXVdQCEqUlHROTfuC7wAWYmx5DYs5PTZYiIBBTXnQZHhLXjybljnC5DRCTguPIMX0REvk6BLyISJBT4IiJBwqfAN8ZEGmPeN8bs837/2gNkjTF9jTHbjDHbjTHpxpi7fdmmiIicH1/P8O8HPrTWJgEfeqdPlQ9MtNaOAsYD9xtjevu4XREROUe+Bv4sYIn39RLg2lNXsNbWWGurvZPt/bBNERE5D76Gb7S1Nt/7ugCIbmolY0wfY8xOIAd41Fp76DTrLTTGbDXGbD1y5IiPpYmISGNn7IdvjPkA6NXEogcbT1hrrTHGNvUe1tocINnblPOGMWaZtfZwE+stAhYBpKSkNPleIiJyfoy155+rxpgvgUustfnGmBjgE2vtoDP8m2eAVdbaZWdY7whw8LyLg+5AkQ//vjXSPrtfsO0vaJ/PVV9rbY+mFvh6p+0KYB7wiPf7m6euYIyJA45aayu9vXgmAX8+0xufruCzZYzZaq1N8eU9Whvts/sF2/6C9tmffG3DfwSYaozZB1zuncYYk2KMedq7zhBgkzFmB/Ap8AdrbZqP2xURkXPk0xm+tfYoMKWJ+VuBBd7X7wPJvmxHRER85+YukoucLsAB2mf3C7b9Be2z3/h00VZERFoPN5/hi4hIIwp8EZEg4brAN8ZMM8Z8aYzJMMY0NbZPq+S9W/ljY8xu7yB093nnNzmAnWnwF+/nsNMY02qfCmOMCTHGfG6MWemd7meM2eTdt5eNMaHe+e290xne5QmOFn6ejDFdjTHLjDF7jDFfGGMmuv04G2N+5P253mWMedEY08Ftx9kY84wxptAYs6vRvHM+rsaYed719xlj5p1LDa4KfGNMCPAkMB0YCswxxgx1tiq/8QA/sdYOBSYA3/Pu2+kGsJsOJHm/FgJ/b/mS/eY+4ItG048Cf7bWJgLHgPne+fOBY975f/au1xo9DrxrrR0MjKRh3117nI0xscAPgBRr7XAgBJiN+47zP4Fpp8w7p+NqjIkEfknDQJTjgF82NUrxaVlrXfMFTARWN5p+AHjA6bqaaV/fBKYCXwIx3nkxwJfe108Bcxqt/9V6rekLiPP+R7gMWAkYGu5AbHvqMQdW0zAyKzR0OS7C2zGhtXwBEUDmqXW7+TgDsTSMsxXpPW4rgSvdeJyBBGDX+R5XYA7wVKP5/7bemb5cdYbP//7gnJTrnecq3j9hRwObOP0Adm75LB4Dfg7Ue6ejgOPWWo93uvF+fbXP3uUl3vVbk37AEeBZbzPW08aYcFx8nK21ecAfgGwahlMvAVJx93E+6VyPq0/H222B73rGmE7Aa8APrbWljZfZhl/5rulna4y5Cii01qY6XUsLaguMAf5urR0NlHPKcyZceJy70TDUej+gNxDO15s+XK8ljqvbAj8P6NNoOs47zxWMMe1oCPvnrbXLvbMPeweuw/u90DvfDZ/FRcA1xpgs4CUamnUeB7oaY07eJd54v77aZ+/yCOBoSxbsB7lArrV2k3d6GQ2/ANx8nC8HMq21R6y1tcByGo69m4/zSed6XH063m4L/C1AkvfqfigNF35WOFyTXxhjDLAY+MJa+6dGi04OYAf/PoDdCuDb3qv9E4CSRn86tgrW2gestXHW2gQajuVH1tpbgY+BG72rnbrPJz+LG73rt6ozYWttAZBjjDk56uwUYDcuPs40NOVMMMaEeX/OT+6za49zI+d6XFcDVxhjunn/MrrCO+/sOH0RoxkuiswA9gL7gQedrseP+zWJhj/3dgLbvV8zaGi7/BDYB3wARHrXNzT0WNoPpNHQA8Lx/fBh/y8BVnpf9wc2AxnAq0B77/wO3ukM7/L+Ttd9nvs6CtjqPdZvAN3cfpyBXwN7gF3AczQ8Hc9Vxxl4kYZrFLU0/CU3/3yOK/Bd775nAHecSw0aWkFEJEi4rUlHREROQ4EvIhIkFPgiIkFCgS8iEiQU+CIiQUKBLyISJBT4IiJB4v8D7vocss1ZIokAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(0.0, 0.099949986, -0.2820423, 0.14113107, (1000, 1))"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cpe = Coord1dPosEncoding(1000, exponential=True, normalize=True).detach().cpu().numpy()\n",
    "plt.pcolormesh(cpe, cmap='viridis')\n",
    "plt.title('Coord1dPosEncoding')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "plt.plot(cpe.mean(1))\n",
    "plt.show()\n",
    "cpe.mean(), cpe.std(), cpe.min(), cpe.max(), cpe.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(0.0, 0.099949986, -0.2820423, 0.14113107)"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cpe = Coord1dPosEncoding(1000, exponential=True, normalize=True).detach().cpu().numpy()\n",
    "plt.pcolormesh(cpe, cmap='viridis')\n",
    "plt.title('Coord1dPosEncoding')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "plt.plot(cpe.mean(1))\n",
    "plt.show()\n",
    "cpe.mean(), cpe.std(), cpe.min(), cpe.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "IPython.notebook.save_checkpoint();",
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/nacho/notebooks/tsai/nbs/100c_models.positional_encoders.ipynb saved at 2022-11-09 12:58:26\n",
      "Correct notebook to script conversion! 😃\n",
      "Wednesday 09/11/22 12:58:28 CET\n"
     ]
    },
    {
     "data": {
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       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#|eval: false\n",
    "#|hide\n",
    "from tsai.export import get_nb_name; nb_name = get_nb_name(locals())\n",
    "from tsai.imports import create_scripts; create_scripts(nb_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "python3",
   "language": "python",
   "name": "python3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
